Transverse dynamics of a phase-conjugate resonator. I: Sluggish nonlinear medium

G. Reiner; P. Meystre; E. M. Wright

doi:10.1364/JOSAB.4.000675

Transverse dynamics of a phase-conjugate resonator. I: Sluggish nonlinear medium

G. Reiner, P. Meystre, E. M. Wright

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10 Scopus citations

Abstract

We present a fully nonlinear theory of a phase-conjugate resonator in which the phase-conjugate mirror is a diffusive Kerr medium with an arbitrary ratio of cavity round-trip time to medium response time. The model is restricted to the Raman-Nath scattering regime but includes pump depletion and transverse coupling, which is provided by diffraction inside the cavity and diffusion inside the phase-conjugate mirror. A transverse linear-stability analysis of steady-state solutions is performed. The case of a sluggish medium is studied numerically in both low- and highdiffraction geometries.

Original language	English (US)
Pages (from-to)	675-686
Number of pages	12
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	4
Issue number	5
DOIs	https://doi.org/10.1364/JOSAB.4.000675
State	Published - May 1987

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Atomic and Molecular Physics, and Optics

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title = "Transverse dynamics of a phase-conjugate resonator. I: Sluggish nonlinear medium",

abstract = "We present a fully nonlinear theory of a phase-conjugate resonator in which the phase-conjugate mirror is a diffusive Kerr medium with an arbitrary ratio of cavity round-trip time to medium response time. The model is restricted to the Raman-Nath scattering regime but includes pump depletion and transverse coupling, which is provided by diffraction inside the cavity and diffusion inside the phase-conjugate mirror. A transverse linear-stability analysis of steady-state solutions is performed. The case of a sluggish medium is studied numerically in both low- and highdiffraction geometries.",

author = "G. Reiner and P. Meystre and Wright, {E. M.}",

note = "Funding Information: This study was financially supported by Materials and Manufacturing Ontario (MMO), the National Research Council of Canada, and the Natural Science and Engineering Research Council of Canada. We are grateful to the Dr. Kim Tan from CSRF and staff of the Synchrotron Radiation Centre (SRC), University of Wisconsin, Madison, for their technical support and National Science Foundation (NSF) for supporting the SRC under Award NO. DMR-0084402.",

year = "1987",

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T2 - Sluggish nonlinear medium

AU - Reiner, G.

AU - Meystre, P.

AU - Wright, E. M.

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PY - 1987/5

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N2 - We present a fully nonlinear theory of a phase-conjugate resonator in which the phase-conjugate mirror is a diffusive Kerr medium with an arbitrary ratio of cavity round-trip time to medium response time. The model is restricted to the Raman-Nath scattering regime but includes pump depletion and transverse coupling, which is provided by diffraction inside the cavity and diffusion inside the phase-conjugate mirror. A transverse linear-stability analysis of steady-state solutions is performed. The case of a sluggish medium is studied numerically in both low- and highdiffraction geometries.

AB - We present a fully nonlinear theory of a phase-conjugate resonator in which the phase-conjugate mirror is a diffusive Kerr medium with an arbitrary ratio of cavity round-trip time to medium response time. The model is restricted to the Raman-Nath scattering regime but includes pump depletion and transverse coupling, which is provided by diffraction inside the cavity and diffusion inside the phase-conjugate mirror. A transverse linear-stability analysis of steady-state solutions is performed. The case of a sluggish medium is studied numerically in both low- and highdiffraction geometries.

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Transverse dynamics of a phase-conjugate resonator. I: Sluggish nonlinear medium

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